In a medium bowl, combine the coconut milk and chia seeds, whisking until well-combined.
Place the bowl in the fridge for 10 minutes, stirring half-way through to break up any clumps.
In a small pot over low heat, add the kiwis, strawberries, water, and maple syrup (if using).
Bring to a boil, stirring occasionally, and then reduce the heat and simmer for 5 minutes.
Remove the pot from the heat and use a slotted spoon to add the fruit to a high-speed blender.
Blend on low, slowly adding in the liquid from the pot until the mixture reaches a medium-to-thick consistency.
Divide the compote equally into two 12-ounce glasses and top each with the chia seed pudding.
If desired, add a sliced strawberry and kiwi for garnish and enjoy!